4155091600 has 135 divisors (see below), whose sum is σ = 11010195259. Its totient is φ = 1505785600.

The previous prime is 4155091597. The next prime is 4155091649. The reversal of 4155091600 is 61905514.

The square root of 4155091600 is 64460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 658025104 + 3497066496 = 25652^2 + 59136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14181054 + ... + 14181346.

Almost surely, 2^4155091600 is an apocalyptic number.

4155091600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4155091600 is the 64460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4155091600

4155091600 is an abundant number, since it is smaller than the sum of its proper divisors (6855103659).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4155091600 is a wasteful number, since it uses less digits than its factorization.

4155091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 4155091600 is about 1607.6575118543.

The spelling of 4155091600 in words is "four billion, one hundred fifty-five million, ninety-one thousand, six hundred".